A-INFINITY-CONDITION FOR THE JACOBIAN OF A QUASI-CONFORMAL MAPPING

Authors
HEINONEN J KOSKELA P
Citation
J. Heinonen et P. Koskela, A-INFINITY-CONDITION FOR THE JACOBIAN OF A QUASI-CONFORMAL MAPPING, Proceedings of the American Mathematical Society, 120(2), 1994, pp. 535-543
Citations number
22
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
120
Issue
2
Year of publication
1994
Pages
535 - 543
Database
ISI
SICI code
0002-9939(1994)120:2<535:AFTJOA>2.0.ZU;2-T
Abstract
We show that the Jacobian J(f) of a quasi-conformal mapping f:B(n) --> D is an A(infinity)-weight in B(n) if and only if D is a John domain. A similar question concerning J(f-1) is also studied.